x-2/x-2.6=1.06

Solution for x-2/x-2.6=1.06 equation:

x-2/x-2.6=1.06

We move all terms to the left:

x-2/x-2.6-(1.06)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-2/x-3.66=0

We multiply all the terms by the denominator


x*x-(3.66)*x-2=0

We multiply parentheses

x*x-3.66x-2=0

Wy multiply elements

x^2-3.66x-2=0

a = 1; b = -3.66; c = -2;
Δ = b2-4ac
Δ = -3.662-4·1·(-2)
Δ = 21.3956
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3.66)-\sqrt{21.3956}}{2*1}=\frac{3.66-\sqrt{21.3956}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.66)+\sqrt{21.3956}}{2*1}=\frac{3.66+\sqrt{21.3956}}{2}
$